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Simplifying 3(2z + -1) = 4z + -2 Reorder the terms: 3(-1 + 2z) = 4z + -2 (-1 * 3 + 2z * 3) = 4z + -2 (-3 + 6z) = 4z + -2 Reorder the terms: -3 + 6z = -2 + 4z Solving -3 + 6z = -2 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -3 + 6z + -4z = -2 + 4z + -4z Combine like terms: 6z + -4z = 2z -3 + 2z = -2 + 4z + -4z Combine like terms: 4z + -4z = 0 -3 + 2z = -2 + 0 -3 + 2z = -2 Add '3' to each side of the equation. -3 + 3 + 2z = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 2z = -2 + 3 2z = -2 + 3 Combine like terms: -2 + 3 = 1 2z = 1 Divide each side by '2'. z = 0.5 Simplifying z = 0.5
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